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quantum_package/plugins/Full_CI_ZMQ/fci_zmq.irp.f
Anthony Scemama 4098b05202 Squashed commit of the following: 
commit 96715abd7bc0645b994fc4fff1c764e7bec3042e
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Thu Sep 6 12:08:34 2018 +0200

    Tasks

commit e43b1e2faff5ad1ec4ecd2eb99e8d86e0000a9a2
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Thu Sep 6 11:47:02 2018 +0200

    Fixed print

commit c498c8944b5695b953909711a2e9a542e1bc6015
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Thu Sep 6 11:11:51 2018 +0200

    PT2 and shiftedBk fixed

commit 965cf0361d54df096c9bfca93f9d50ecd946c198
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 18:48:59 2018 +0200

    Shifted Bk multistate broken

commit 87ef641b65a122fa1256605cbe098c1a0de04bc0
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 17:23:38 2018 +0200

    PT2 fixed

commit a2adb533bcaf96191a24ff5fcef86cd14ac00697
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 16:55:05 2018 +0200

    Working on PT2 (broken)

commit 33f52991b65ac42ced5521ef0e713df765268860
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 12:13:23 2018 +0200

    Fixed missing argument

commit 712bf75f76421880299dc65b30acfda3d531f709
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 11:42:31 2018 +0200

    Fixed floating invalid in PT2

commit cf2412ebd99f9acf573a5180603611f1c3e35155
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 11:34:37 2018 +0200

    n_states_diag >= n_states

commit bb415435e4d9be72a285ec789c3d63046a9173e4
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Wed Sep 5 11:23:41 2018 +0200

    Fixed final print

commit f2d339cf7b
Merge: cfa8e1dc 52ca18c1
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 20:51:14 2018 +0200

    Merge branch 'thesis' of ssh://github.com/garniron/quantum_package into thesis

commit cfa8e1dc34
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 20:50:09 2018 +0200

    restored relative_error

commit bccad69c77
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 20:47:11 2018 +0200

    uninitialized variable

commit 52ca18c152
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 20:47:11 2018 +0200

    uninitialized variable

commit ba0094f5f8
Merge: 093e3fd0 68458296
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 20:07:15 2018 +0200

    merge with garniroy

commit 68458296dc
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Tue Sep 4 18:43:39 2018 +0200

    Almost working but still broken

commit 9ebb88cbf3
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Tue Sep 4 18:05:00 2018 +0200

    Cleaning

commit 873035e016
Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
Date:   Tue Sep 4 17:31:45 2018 +0200

    Squashed commit of the following:

    commit 4b9c435dce0f3b3078d573e66fd32b40fca26497
    Merge: 74e559c8 093e3fd0
    Author: Anthony Scemama <scemama@irsamc.ups-tlse.fr>
    Date:   Tue Sep 4 16:58:51 2018 +0200

        Merge branch 'thesis' of git://github.com/garniron/quantum_package into garniron-thesis

    commit 093e3fd021
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 16:13:00 2018 +0200

        removed ungodly hack

    commit 8529a0f3f6
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 14:57:19 2018 +0200

        reduced prints in pt2_stoch

    commit 03b8f353bd
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 14:41:46 2018 +0200

        teeth building check for pt2_stoch

    commit 0d91b9310a
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 14:35:04 2018 +0200

        timestamp of first pull

    commit 34d9fa0165
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 14:27:10 2018 +0200

        potential numerical precision bug

    commit 9a0f900d8c
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Sep 4 14:09:51 2018 +0200

        tests if teeth can be built

    commit dda0dc34df
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Mon Sep 3 17:48:04 2018 +0200

        corrected pt2_find_sample

    commit a521f0cb82
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Mon Sep 3 16:08:02 2018 +0200

        tasks get by batches of Nproc

    commit 997a5a1265
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Mon Sep 3 14:18:04 2018 +0200

        buffered task_id send

    commit 99ea7948e0
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Mon Sep 3 12:29:12 2018 +0200

        unbalanced fragmentation

    commit abb3b7e08b
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Sun Sep 2 17:18:44 2018 +0200

        overflow of pt2_J

    commit 8df49f394b
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Sun Sep 2 15:58:48 2018 +0200

        removed useless computation of intermediate checkpoints

    commit 4ba5b79eb3
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Sun Sep 2 15:50:14 2018 +0200

        dressing only sent for chosen checkpoint

    commit a4a6a69459
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Sat Sep 1 17:01:56 2018 +0200

        cumulative dot_F

    commit 6a7f04cb79
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Sat Sep 1 16:58:07 2018 +0200

        simpler purge

    commit 168ca2f2e2
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Fri Aug 31 21:07:01 2018 +0200

        task list optimized

    commit de4a0d0caf
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Fri Aug 31 18:57:03 2018 +0200

        removed print

    commit fee31d4e3e
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Fri Aug 31 18:56:23 2018 +0200

        dress fragmentation

    commit 02893a419d
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Fri Aug 31 15:52:16 2018 +0200

        bug in blocked search - replaced with thesis version

    commit bb6e073cf1
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 21:24:45 2018 +0200

        ungodly hack to prevent double providing

    commit 0609e8c627
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 20:52:05 2018 +0200

        debugging

    commit a254fdd7cf
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 15:24:07 2018 +0200

        parallel bug

    commit 2a6c1941d4
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 11:43:11 2018 +0200

        corrected when relative_error=0d0

    commit bac039bdf1
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 10:58:17 2018 +0200

        relative error 1d-5

    commit aae9d203ec
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Thu Aug 30 10:07:02 2018 +0200

        potential fragmentation bug

    commit ad69f39f99
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Wed Aug 29 20:54:58 2018 +0200

        dress_zmq re-implemented

    commit d78f64732a
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Wed Aug 29 11:30:19 2018 +0200

        pt2_stoch re-implemented

    commit 4b9b54e19a
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Tue Aug 28 10:24:38 2018 +0200

        removed test for phase_mask_bit

    commit 3abccca5e3
    Author: Yann Garniron <yann.garniron@yahoo.fr>
    Date:   Fri Aug 3 23:44:05 2018 +0200

        phasemask_bit

commit 093e3fd021
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 16:13:00 2018 +0200

    removed ungodly hack

commit 8529a0f3f6
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 14:57:19 2018 +0200

    reduced prints in pt2_stoch

commit 03b8f353bd
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 14:41:46 2018 +0200

    teeth building check for pt2_stoch

commit 0d91b9310a
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 14:35:04 2018 +0200

    timestamp of first pull

commit 34d9fa0165
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 14:27:10 2018 +0200

    potential numerical precision bug

commit 9a0f900d8c
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Sep 4 14:09:51 2018 +0200

    tests if teeth can be built

commit dda0dc34df
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Mon Sep 3 17:48:04 2018 +0200

    corrected pt2_find_sample

commit a521f0cb82
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Mon Sep 3 16:08:02 2018 +0200

    tasks get by batches of Nproc

commit 997a5a1265
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Mon Sep 3 14:18:04 2018 +0200

    buffered task_id send

commit 99ea7948e0
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Mon Sep 3 12:29:12 2018 +0200

    unbalanced fragmentation

commit abb3b7e08b
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Sun Sep 2 17:18:44 2018 +0200

    overflow of pt2_J

commit 8df49f394b
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Sun Sep 2 15:58:48 2018 +0200

    removed useless computation of intermediate checkpoints

commit 4ba5b79eb3
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Sun Sep 2 15:50:14 2018 +0200

    dressing only sent for chosen checkpoint

commit a4a6a69459
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Sat Sep 1 17:01:56 2018 +0200

    cumulative dot_F

commit 6a7f04cb79
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Sat Sep 1 16:58:07 2018 +0200

    simpler purge

commit 168ca2f2e2
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Fri Aug 31 21:07:01 2018 +0200

    task list optimized

commit de4a0d0caf
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Fri Aug 31 18:57:03 2018 +0200

    removed print

commit fee31d4e3e
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Fri Aug 31 18:56:23 2018 +0200

    dress fragmentation

commit 02893a419d
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Fri Aug 31 15:52:16 2018 +0200

    bug in blocked search - replaced with thesis version

commit bb6e073cf1
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 21:24:45 2018 +0200

    ungodly hack to prevent double providing

commit 0609e8c627
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 20:52:05 2018 +0200

    debugging

commit a254fdd7cf
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 15:24:07 2018 +0200

    parallel bug

commit 2a6c1941d4
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 11:43:11 2018 +0200

    corrected when relative_error=0d0

commit bac039bdf1
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 10:58:17 2018 +0200

    relative error 1d-5

commit aae9d203ec
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Thu Aug 30 10:07:02 2018 +0200

    potential fragmentation bug

commit ad69f39f99
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Wed Aug 29 20:54:58 2018 +0200

    dress_zmq re-implemented

commit d78f64732a
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Wed Aug 29 11:30:19 2018 +0200

    pt2_stoch re-implemented

commit 4b9b54e19a
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Tue Aug 28 10:24:38 2018 +0200

    removed test for phase_mask_bit

commit 3abccca5e3
Author: Yann Garniron <yann.garniron@yahoo.fr>
Date:   Fri Aug 3 23:44:05 2018 +0200

    phasemask_bit
2018-09-06 15:19:51 +02:00

239 lines
8.7 KiB
Fortran
Raw Blame History

program fci_zmq
implicit none
integer :: i,j,k
double precision, allocatable :: pt2(:)
integer :: degree
integer :: n_det_before, to_select
double precision :: threshold_davidson_in
allocate (pt2(N_states))
double precision :: hf_energy_ref
logical :: has
double precision :: relative_error
integer :: N_states_p
character*(512) :: fmt
relative_error=PT2_relative_error
pt2 = -huge(1.e0)
threshold_davidson_in = threshold_davidson
threshold_davidson = threshold_davidson_in * 100.d0
SOFT_TOUCH threshold_davidson
! call diagonalize_CI
! call save_wavefunction
call ezfio_has_hartree_fock_energy(has)
if (has) then
call ezfio_get_hartree_fock_energy(hf_energy_ref)
else
hf_energy_ref = ref_bitmask_energy
endif
if (N_det > N_det_max) then
psi_det = psi_det_sorted
psi_coef = psi_coef_sorted
N_det = N_det_max
soft_touch N_det psi_det psi_coef
call diagonalize_CI
call save_wavefunction
N_states_p = min(N_det,N_states)
endif
n_det_before = 0
character*(8) :: pt2_string
double precision :: correlation_energy_ratio
double precision :: threshold_selectors_save, threshold_generators_save
threshold_selectors_save = threshold_selectors
threshold_generators_save = threshold_generators
double precision :: error(N_states)
correlation_energy_ratio = 0.d0
if (do_pt2) then
pt2_string = ' '
else
pt2_string = '(approx)'
endif
if (.True.) then ! Avoid pre-calculation of CI_energy
do while ( &
(N_det < N_det_max) .and. &
(maxval(abs(pt2(1:N_states))) > pt2_max) .and. &
(correlation_energy_ratio <= correlation_energy_ratio_max) &
)
write(*,'(A)') '--------------------------------------------------------------------------------'
if (do_pt2) then
pt2 = 0.d0
threshold_selectors = 1.d0
threshold_generators = 1.d0
SOFT_TOUCH threshold_selectors threshold_generators
call ZMQ_pt2(CI_energy, pt2,relative_error,error) ! Stochastic PT2
threshold_selectors = threshold_selectors_save
threshold_generators = threshold_generators_save
SOFT_TOUCH threshold_selectors threshold_generators
endif
correlation_energy_ratio = (CI_energy(1) - hf_energy_ref) / &
(CI_energy(1) + pt2(1) - hf_energy_ref)
correlation_energy_ratio = min(1.d0,correlation_energy_ratio)
N_states_p = min(N_det,N_states)
print *, ''
print '(A,I12)', 'Summary at N_det = ', N_det
print '(A)', '-----------------------------------'
print *, ''
call write_double(6,correlation_energy_ratio, 'Correlation ratio')
print *, ''
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
write(fmt,*) '(12X,', N_states_p, '(6X,A7,1X,I6,10X))'
write(*,fmt) ('State',k, k=1,N_states_p)
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
write(fmt,*) '(A12,', N_states_p, '(1X,F14.8,15X))'
write(*,fmt) '# E ', CI_energy(1:N_states_p)
if (N_states_p > 1) then
write(*,fmt) '# Excit. (au)', CI_energy(1:N_states_p)-CI_energy(1)
write(*,fmt) '# Excit. (eV)', (CI_energy(1:N_states_p)-CI_energy(1))*27.211396641308d0
endif
write(fmt,*) '(A12,', 2*N_states_p, '(1X,F14.8))'
write(*,fmt) '# PT2'//pt2_string, (pt2(k), error(k), k=1,N_states_p)
write(*,'(A)') '#'
write(*,fmt) '# E+PT2 ', (CI_energy(k)+pt2(k),error(k), k=1,N_states_p)
if (N_states_p > 1) then
write(*,fmt) '# Excit. (au)', ( (CI_energy(k)+pt2(k)-CI_energy(1)-pt2(1)), &
dsqrt(error(k)*error(k)+error(1)*error(1)), k=1,N_states_p)
write(*,fmt) '# Excit. (eV)', ( (CI_energy(k)+pt2(k)-CI_energy(1)-pt2(1))*27.211396641308d0, &
dsqrt(error(k)*error(k)+error(1)*error(1))*27.211396641308d0, k=1,N_states_p)
endif
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
print *, ''
print *, 'N_det = ', N_det
print *, 'N_states = ', N_states
print*, 'correlation_ratio = ', correlation_energy_ratio
do k=1, N_states_p
print*,'State ',k
print *, 'PT2 = ', pt2(k)
print *, 'E = ', CI_energy(k)
print *, 'E+PT2'//pt2_string//' = ', CI_energy(k)+pt2(k), ' +/- ', error(k)
enddo
print *, '-----'
if(N_states.gt.1)then
print *, 'Variational Energy difference (au | eV)'
do i=2, N_states_p
print*,'Delta E = ', (CI_energy(i) - CI_energy(1)), &
(CI_energy(i) - CI_energy(1)) * 27.211396641308d0
enddo
print *, '-----'
print*, 'Variational + perturbative Energy difference (au | eV)'
do i=2, N_states_p
print*,'Delta E = ', (CI_energy(i)+ pt2(i) - (CI_energy(1) + pt2(1))), &
(CI_energy(i)+ pt2(i) - (CI_energy(1) + pt2(1))) * 27.211396641308d0
enddo
endif
call ezfio_set_full_ci_zmq_energy_pt2(CI_energy(1)+pt2(1))
call dump_fci_iterations_value(N_det,CI_energy,pt2)
n_det_before = N_det
if (s2_eig) then
to_select = N_det/2+1
to_select = max(N_det/2+1, to_select)
to_select = min(to_select, N_det_max-n_det_before)
else
to_select = N_det
to_select = max(N_det, to_select)
to_select = min(to_select, N_det_max-n_det_before)
endif
call ZMQ_selection(to_select, pt2)
PROVIDE psi_coef
PROVIDE psi_det
PROVIDE psi_det_sorted
if (N_det >= N_det_max) then
threshold_davidson = threshold_davidson_in
end if
call diagonalize_CI
call save_wavefunction
call ezfio_set_full_ci_zmq_energy(CI_energy(1))
enddo
endif
if (N_det < N_det_max) then
threshold_davidson = threshold_davidson_in
call diagonalize_CI
call save_wavefunction
call ezfio_set_full_ci_zmq_energy(CI_energy(1))
call ezfio_set_full_ci_zmq_energy_pt2(CI_energy(1)+pt2(1))
endif
if (do_pt2) then
pt2 = 0.d0
threshold_selectors = 1.d0
threshold_generators = 1d0
SOFT_TOUCH threshold_selectors threshold_generators
call ZMQ_pt2(CI_energy, pt2,relative_error,error) ! Stochastic PT2
threshold_selectors = threshold_selectors_save
threshold_generators = threshold_generators_save
SOFT_TOUCH threshold_selectors threshold_generators
call ezfio_set_full_ci_zmq_energy(CI_energy(1))
call ezfio_set_full_ci_zmq_energy_pt2(CI_energy(1)+pt2(1))
endif
print *, 'N_det = ', N_det
print *, 'N_states = ', N_states
print*, 'correlation_ratio = ', correlation_energy_ratio
call dump_fci_iterations_value(N_det,CI_energy,pt2)
print *, ''
print '(A,I12)', 'Summary at N_det = ', N_det
print '(A)', '-----------------------------------'
print *, ''
call write_double(6,correlation_energy_ratio, 'Correlation ratio')
print *, ''
N_states_p = min(N_det,N_states)
print *, ''
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
write(fmt,*) '(12X,', N_states_p, '(6X,A7,1X,I6,10X))'
write(*,fmt) ('State',k, k=1,N_states_p)
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
write(fmt,*) '(A12,', N_states_p, '(1X,F14.8,15X))'
write(*,fmt) '# E ', CI_energy(1:N_states_p)
if (N_states_p > 1) then
write(*,fmt) '# Excit. (au)', CI_energy(1:N_states_p)-CI_energy(1)
write(*,fmt) '# Excit. (eV)', (CI_energy(1:N_states_p)-CI_energy(1))*27.211396641308d0
endif
write(fmt,*) '(A12,', 2*N_states_p, '(1X,F14.8))'
write(*,fmt) '# PT2'//pt2_string, (pt2(k), error(k), k=1,N_states_p)
write(*,'(A)') '#'
write(*,fmt) '# E+PT2 ', (CI_energy(k)+pt2(k),error(k), k=1,N_states_p)
if (N_states_p > 1) then
write(*,fmt) '# Excit. (au)', ( (CI_energy(k)+pt2(k)-CI_energy(1)-pt2(1)), &
dsqrt(error(k)*error(k)+error(1)*error(1)), k=1,N_states_p)
write(*,fmt) '# Excit. (eV)', ( (CI_energy(k)+pt2(k)-CI_energy(1)-pt2(1))*27.211396641308d0, &
dsqrt(error(k)*error(k)+error(1)*error(1))*27.211396641308d0, k=1,N_states_p)
endif
write(fmt,*) '(''# ============'',', N_states_p, '(1X,''=============================''))'
write(*,fmt)
print *, ''
end
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